This is an archived handbook for a previous year. The current undergraduate and postgraduate handbooks can be viewed using the links above.

Undergraduate Handbook 2016-2017 (archived)

Module MATH2647: PROBABILITY II

Department: Mathematical Sciences

MATH2647: PROBABILITY II

Type	Level	Credits	Availability	Module Cap	Location
Open	2	10	Available in 2016/2017		Durham

Pre-requisites

Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071) and Analysis 1 (MATH1051)[the latter may be a co-requisite].

Corequisites

Analysis 1 (MATH1051) unless taken before.

Excluded Combinations

None

Aims

To reinforce the knowledge of Probability gained at Level 1 and provide a firm foundation for modules in this area in higher years.

Content

Probability: Markov chains, random walks, real and complex generating functions, convergence in function space.

Learning Outcomes

Subject-specific Knowledge

By the end of the module students will: be able to solve a range of predictable and unpredictable problems in the given topics.
Have an awareness of the abstract concepts of theoretical mathematics in the field of the given topics.
Have a knowledge and understanding of the major theories of these subjects demonstrated through one or more of the following topic areas: Probability: Markov Chains, random walks, real and complex generating functions, convergence in function space; Geometric topology: knots, surfaces, knot invariants.

Subject-specific Skills

In addition students will have the ability to undertake and defend the use of alternative mathematical skills in the following areas with minimal guidance: Modelling.

Key Skills

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

Lecturing demonstrates what is required to be learned and the application of the theory to practical examples.
Weekly homework problems provide formative assessment to guide students in the correct development of their knowledge and skills.
Tutorials provide active engagement and feedback to the learning process.
The end-of-year examination assesses the knowledge acquired and the ability to solve predictable and unpredictable problems.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total Hours	Attendance Monitored
Lectures	22	2 per week for 11 weeks in Michaelmas and Easter	1 Hour	22
Tutorials	5	Fortnightly for 10 weeks	1 Hour	5	Yes
Problems Classes	4	Fortnightly in Michaelmas	1 Hour	4
Preparation and Reading				69
Total				100

Summative Assessment

Component	Component Weighting	Element	Length/Duration	Element Weighting	Resit Opportunity
Examination	100%	end of year written examination	2 hours	100%	yes

Formative Assessment

Fortnightly or Weekly written assignments.

Students who do not attend monitored activities shown under Teaching Methods and Learning Hours, or who fail to complete the summative or formative assessment(s) specified above, may be subject to the Academic Progress procedures defined in the University's General Regulation V, and may be required to leave the University.